Lie rings of (anti-)symmetric derivations of commutative rings

Ping Bao Liao, Cheng-Kai Liu

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Let R be a 2-torsion free commutative ring with involution *, and δ a non-zero derivation of R. Let S be the set of symmetric elements in R and K the set of anti-symmetric elements in R. In this article, we investigate the simplicity and primeness of the Lie rings Sδ and Kδ when δ is a symmetric or anti-symmetric derivation.

Original languageEnglish
Pages (from-to)589-598
Number of pages10
JournalLinear and Multilinear Algebra
Volume58
Issue number5
DOIs
Publication statusPublished - 2010 Jul 1

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Lie Ring
Antisymmetric
Commutative Ring
Torsion-free
Involution
Simplicity

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

Cite this

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Lie rings of (anti-)symmetric derivations of commutative rings. / Liao, Ping Bao; Liu, Cheng-Kai.

In: Linear and Multilinear Algebra, Vol. 58, No. 5, 01.07.2010, p. 589-598.

Research output: Contribution to journalArticle

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